What is 0.774 as a fraction?
0.774 as a fraction is 774/1000 and its simplest form is 387/500.
Learn how to find what is 0.774 as a fraction in simplest form just in a few minutes. We have covered why the concept of place value and factorization is crucial to express decimal point 0.774 in its equivalent fraction form. It is required to recognize the decimal point 0.774 as 774 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.774 as a fraction and how it can be found easily.
Summary: 0.774 in fraction form
0.774 can be recognized as 774 thousandths, which can be represented as 774/1000 in fraction form. The simplest form of 774/1000 is 387/500. Therefore, 0.774 as a fraction is 387/500.
Write 0.774 as a fraction in simplest form.
0.774 = (?)
0.774 = 0.774/1
= (0.774/1) x (1000/1000) //0.774 can be recognized as 774 thousandths.
= 774/1000 //774 thousandths is equal to 774/1000 and it can be simplified further.
= (774/2)/(1000/2) //2 is the GCF of 774 and 1000. Divide both 774 and 1000 by the GCF 2 to simplify the fraction.
= 387/500
0.774 = 387/500
0.774 in its simplest fraction form is 387/500.
So, what is the fraction of 0.774?
It is 774/1000 in fraction. To simplify 774/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 774 by 2 gives 387,
and dividing 1000 by 2 gives 500. Thus, 774/1000 simplifies to 387/500
Refer to the step by step work further to learn how to find what is 0.774 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.774
What to be found:
What is 0.774 as a fraction in simplest form?
step 2 Write 0.774 as a simple fraction.
0.774/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.774/1.
Since the decimal 0.774 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.774/1 to make numerator as a whole number.
(0.774 x 1000)/(1 x 1000) = 774/1000
step 4
774 thousandths is the fraction form of 0.774, however, it can be reduced further. To simplify 774/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 774 and 1000 cancel each other.
774/1000 = (2 x 387)/(2 x 500)
= 387/500
774/1000 = 387/500
Hence,
0.774 as a fraction is 387/500.
Converting decimals like 0.774 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.774 to fraction form. In this case, 0.774 can be recognized as 774 thousandths. So, the fraction form of 0.774 is 774/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 774/1000 in its simplest form.